The Necessary Conditions of Fractional Optimal Control in the Sense of Caputo

Tian Liang Guo ()
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Tian Liang Guo: Anhui University

Journal of Optimization Theory and Applications, 2013, vol. 156, issue 1, No 11, 115-126

Abstract: Abstract This paper deals with the optimal control problem of a fractional dynamic system in the sense of Caputo. The main result of this paper gives a second order necessary optimality condition for fractional optimal control problems, which has not been discussed before. An application is introduced to explain our main results.

Keywords: Fractional dynamic system; Optimal control; Necessary conditions; Calculus of variations (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (10)

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DOI: 10.1007/s10957-012-0233-0

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